Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2007

Generic validity of the multifractal formalism

Résumé

The multifractal formalism is a formula which allows to derive the spectrum of singularities of a signal from numerically computable quantities. We study its generic validity by showing that almost every function in the sense of prevalence, is multifractal and satisfies this formalism. We also apply another notion of genericity to partially reinforce this result.

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hal-00689978 , version 1 (20-04-2012)

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  • HAL Id : hal-00689978 , version 1

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Aurélia Fraysse. Generic validity of the multifractal formalism. SIAM Journal on Mathematical Analysis, 2007, 39 (2), pp.593-607. ⟨hal-00689978⟩
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